Home
Class 12
MATHS
Prove the following: [[(b+c)^2,a^2,bc]...

Prove the following:
`[[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2,ab]]`
=`(a^2+b^2+c^2)(a+b+c)(b-c)(c-a)(a-b)`

Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP C (30 MARKS) 11. ANSWER ANY ONE QUESTIONS |2 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PRAKASHAN|Exercise GROUP C (30 MARKS) 9 ANSWER ANY ONE QUESTIONS |3 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PRAKASHAN|Exercise Chapter Test |11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos

Similar Questions

Explore conceptually related problems

Prove the following: [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2

Prove the following : [[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]] =0

Prove the following: [[a^2+1,ab,ac],[ab,b^2+1,bc],[ac,bc,c^2+1]] =1+a^2+b^2+c^2

Prove that the following. [[b^2+c^2,ab,ac],[ab,c^2+a^2,bc],[ca,cb,a^2+b^2]]=4a^2b^2c^2

Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,c-a,ab-a^2]]=0

Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]] =4ab

Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]] =(b-c)(c-a)(a-b)(bc+ca+ab)

Factorize the following. [[a,b,c],[b+c,c+a,a+b],[a^2,b^2,c^2]]

Prove the following: [[a+b+c,-c,-b],[-c,a+b+c,-a],[-b,-a,a+b+c]] =2(b+c)(c+a)(a+b)

Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0